If an experiment is conducted, one and only one of three mutually exclusive events S1, S2, and S3 can occur, with these probabilities: P(S1)=0.2, P(S2)=0.5, P(S3)=0.3. The probabilities of a fourth event A occurring, given that event S1, S2, or S3 occurs, are P(A|S1)=0.02, P(A|S2)=0.01, P(A|S3)=0.03. Find P(S3|A)?

Q: are events A and B independent?

A: For the events to be independent, we must have P(A and B) = P(A).P(B)

Q: Let two events E and F with the following probabilities P(E)=0.25, P(F) = 0.4 and P(E│F)= 0.5. Find…

A: P(E)=0.25, P(F) = 0.4  P(E│F)= 0.5 P(E│F)= P(E∩F)P(F) 0.5 = P(E∩F)0.4 P(E∩F)=0.4×0.5 = 0.2

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (AN B) = 1/4.…

A:

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P(ΑB) - 1/4. Find…

A: For the first question option(C) nominal is correct answer because Nominal data :- It is a…

Q: A letter posted second-class on a Monday has the following probabilities of arriving on Tuesday to…

A: Let's approach this step by step:1) For the first-class letter, the probabilities are as follows:…

Q: If A and B are independent events with P(A) = 0.38 and P(B) = 0.55, then P(A | B) = a. 0.209 b.…

A: P(A)=0.38, P(B)=0.55

Q: If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.3, find the following…

A:

Q: If A and B are two mutually exclusive events with P(A) = 0.6 and P(B) = 0.2, find the following…

A: Given that  P(A)=0.6 , P(B)=0.2 Events A and B are mutually exclusive events  Note: According to…

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

Q: Two events A and B have the following probabilities: P (A) = 1/2, P (B)= 3/8, and P (A N B) = 1/4.…

A: For events A and B, it is given that, P(A) = 1/2, P(B) = 3/8, and P(A ∩ B) = 1/4.

Q: Q. 2 A car dealer notes the following probabilities about his customers: P(those who buy a new car)…

A: Let us denote the event  A: Those who buy a new car. B: Those who buy a European car. Given,…

Q: If P(A)=0.3 and P(B)=0.6, find each probability  a) P(A and B) if A and B are independent events…

A:

Q: Two events A and B have probabilities .3 and .5 respectively. It is also known that P(A n Bº) = .2.…

A: As per our guidelines we are suppose to answerthree sub parts.Given,P(A)=0.3P(B)=0.5P(A∩Bc)=0.2

Q: If A and B are independent events with P(A) = 0.5 and P(A ∩ B) = 0.12, then, P(B) = Question 27…

A:

Q: If two events, A and B, are such that P(A) = 1/6, P(AUB) = 11/30, and P(An B) = 1/42, find t 1. P₁ =…

A: Given that  P(A)=1/6 , P(A U B)=11/30 and P(A ∩ B)=1/42 NOTE:- According to bartleby guidelines…

Q: If A and B are independent events with P(A) = 0.75 and P(An B) = 0.30, then, P(B) = 0.45 0.75 0.225…

A: given data, p(A)=0.75p(A∩B)=0.30p(B)=?

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

A:

Q: 4. P4 = P(A | Bº). (P1, P2, P3, P4) =(

A: From the given information we have P(B) = 47/210 P(Bc) = 1 - P(B) = 1 - 47/210 = 163/210

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Suppose that A and B are two independent events for which P(A) = 0.17 and P(B) = 0.59 Find each of…

A: For the given data Find p(A/B ) =? P(B/A) =? P( A and B ) =? P (A or B ) =?

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

A:

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: Given P(A and B) = 0.43, P(A) = 0.81, and P(B) = 0.25 are events A and B independent or dependent?…

A:

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

Q: If A and B are independent, with P (A) = 0.6, and P (B) = 0.4, calculate the following…

A: Here it is given that A and B are independent events with P(A)=0.6 and P(B)=0.4.

Q: When an experiment is conducted, one and only one of three mutually exclusive events S₁, S₂, and S₂…

A: From the provided information, P (S1) = 0.4, P (S2) = 0.5, and P (S3) = 0.1 P (A/S1) = 0.4, P (A/S2)…

Q: For customers purchasing a refrigerator at a certain appliance store, let A be the event that the…

A: If PB|A>PB then it can be written that  -PB|A<-PB1-PB|A<1-PBPB'|A<PB' In the third step…

Q: If A and B are independent events, P(A)=0.11, and P(B)=0.74, what is P(B|A)?

A: The given probabilities are PA=0.11,PB=0.74. The events A and B are independent.

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If A and B are dependent events such that P(A) = 5/8  and P(B|A) = 3/7, find P(A ∩ B).

A: Given data, P(A) = 5/8   P(B|A) = 3/7 P(A ∩ B)=?

Q: If A and B are independant events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A: It is given that A and B are independent. P(A) = 0.295, P(B) = 0.32

Q: A sample is selected from one of two populations, S, and S₂, with P(S₁) = 0.6 and P(S₂) = 0.4. The…

A: From the provided information, P (S1) = 0.6 and P (S2) = 0.4 P (A/S1) = 0.4 and P (A/S2) = 0.3 P (A)…